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Finding the Fourth Proportional to 470,780.48, 706,306.08 and 171,256.16

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Solution

The fourth proportional to 470,780.48, 706,306.08 and 171,256.16 is: 256,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,780.48 : 706,306.08 = 171,256.16 : x
  2. Step 2: Convert to fraction form
    470,780.48/706,306.08 = 171,256.16/x
  3. Step 3: Cross multiply
    470,780.48x = 706,306.08 × 171,256.16
  4. Step 4: Simplify right side
    470,780.48x = 120,959,267,045.45
  5. Step 5: Solve for x
    x = 120,959,267,045.45/470,780.48
  6. Step 6: Final answer
    x = 256,933.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.